arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1007.0600hep-th
收藏

验证SO(8)-规范N=8 D=4超重力驻点的数值工具

Numerical tools to validate stationary points of SO(8)-gauged N=8 D=4 supergravity

Thomas Fischbacher

摘要:

直到最近,在D=4的SO(8)规范N=8超引力的标量势中确定驻点的首选策略一直是考虑将势截断到E_{7(+7)} /SU(8)的子流形,这些子流形在SO(8)的某些假设的剩余规范群G下是不变的。由于强大的替代策略已经被证明存在,允许人们远远超出这种方法可以实现的范围-特别是产生了许多解决方案,打破了SO(8)规范群没有连续的剩余对称性-由于标量势的复杂性和大量的新解决方案,结果的独立验证成为一个问题。本文介绍了一个概念上简单的自包含的计算机代码,允许独立的数值验证的索赔的位置上新发现的固定点。

英文摘要:

Until recently, the preferred strategy to identify stationary points in the scalar potential of SO(8)-gauged N=8 supergravity in D=4 has been to consider truncations of the potential to sub-manifolds of E_{7(+7)}/SU(8) that are invariant under some postulated residual gauge group G of SO(8). As powerful alternative strategies have been shown to exist that allow one to go far beyond what this method can achieve -- and in particular have produced numerous solutions that break the SO(8) gauge group to no continuous residual symmetry -- independent verification of results becomes a problem due to both the complexity of the scalar potential and the large number of new solutions. This article introduces a conceptually simple self-contained piece of computer code that allows independent numerical validation of claims on the locations of newly discovered stationary points.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑